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Finding the Fourth Proportional to 535.52, 738.78 and 360.80

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Solution

The fourth proportional to 535.52, 738.78 and 360.80 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.52 : 738.78 = 360.80 : x
  2. Step 2: Convert to fraction form
    535.52/738.78 = 360.80/x
  3. Step 3: Cross multiply
    535.52x = 738.78 × 360.80
  4. Step 4: Simplify right side
    535.52x = 266,551.82
  5. Step 5: Solve for x
    x = 266,551.82/535.52
  6. Step 6: Final answer
    x = 497.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.